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PERIODIC SOLUTIONS FOR A FOURTH-ORDER EQUATION AND APPLICATIONS IN A MODEL OF STRUCTURAL MECHANICS

Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China

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JIBIN LI

Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China

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https://doi.org/10.1142/S0218127404010011Cited by:0 (Source: Crossref)

Abstract

By developing topological shooting methods, the existence of single-humped periodic solutions and homoclinic orbit for a class of fourth-order ordinary differential equations is obtained, under some general conditions. Using these strict mathematical conclusions to a model of the deflection patterns of elastic struts resting on elastic foundations, the existence of single-humped periodic solutions which have been found by asymptotical and numerical methods is determined. An estimation of the half-period of the periodic solutions is also given.

Project supported by the National Natural Science Foundation of China and Natural Science Foundation of Yunnan Province.

Keywords:

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